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Statistical Inference for Simple Tree Order in the Means of Stochastic Order on Stratified Contingency Tables
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作者 YAN Guoyi CHEN Jingjing 《Wuhan University Journal of Natural Sciences》 CAS 2010年第2期93-98,共6页
In this paper,we consider testing the hypothesis that all multinomial populations in the stratified contingency table are identically distributed against the alternative that all these popula-tions are in simple tree ... In this paper,we consider testing the hypothesis that all multinomial populations in the stratified contingency table are identically distributed against the alternative that all these popula-tions are in simple tree order.We provide an asymptotic represen-tation of the order-restricted maximum likelihood estimate of the unknown parameters.The resulting estimators are proven to be~n-consistent and asymptotically normal under appropriate conditions.A chi-squared test method is used for this hypothesis test problem.A real data set is applied to illustrate our theoretical result. 展开更多
关键词 simple tree order chi-squared test asymptotic representation asymptotic distribution
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On Fuzzy Quasi-Ideals of Ordered Semigroups
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作者 Jian TANG Xiangyun XIE 《Journal of Mathematical Research with Applications》 CSCD 2012年第5期589-598,共10页
In this paper, fuzzy quasi-ideals of ordered semigroups are characterized by the properties of their level subsets. Furthermore, we introduce the notion of completely semiprime fuzzy quasi-ideals of ordered semigroups... In this paper, fuzzy quasi-ideals of ordered semigroups are characterized by the properties of their level subsets. Furthermore, we introduce the notion of completely semiprime fuzzy quasi-ideals of ordered semigroups and characterize strongly regular ordered semigroups in terms of completely semiprime fuzzy quasi-ideals. Finally, we investigate the characterizations and decompositions of left and right simple ordered semigroups by means of fuzzy quasi-ideals. 展开更多
关键词 fuzzy quasi-ideal completely semiprime fuzzy quasi-ideal strongly regular ordered semigroup left simple ordered semigroup right simple ordered semigroup.
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A Problem of Testing Homogeneity Against Order Constraints on Risk Differences
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作者 胡果荣 高巍 史宁中 《Northeastern Mathematical Journal》 CSCD 2004年第2期127-130,共4页
Consider I pairs of independent binomial variates x0i and x1i with corresponding parameters P0i and p1i and sample sizes n0i and n1i for i=1, …,I. Let △i = P1i-P0i be the difference of the two binomial parameters, w... Consider I pairs of independent binomial variates x0i and x1i with corresponding parameters P0i and p1i and sample sizes n0i and n1i for i=1, …,I. Let △i = P1i-P0i be the difference of the two binomial parameters, where △i’s are to be of interest and P0i’s are nuisance parameters. The null hypothesis of homogeneity on the risk difference can be written as 展开更多
关键词 risk difference likelihood ratio test HOMOGENEITY simple order maximum likelihood estimation
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EXTENDED SYSTEM, BIFURCATION PROBLEM AND HIGH ORDER SINGULARITIES
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作者 胡国庆 李开泰 《Acta Mathematica Scientia》 SCIE CSCD 1995年第1期65-73,共9页
In this paper, we consider two extended systems. When using them for the two parameter bifurcation problems, the simple bifurcation point with regard to lambda on turn into the simple turning point with. regard to mu.... In this paper, we consider two extended systems. When using them for the two parameter bifurcation problems, the simple bifurcation point with regard to lambda on turn into the simple turning point with. regard to mu. Simple high orde bifurcation point is first studied without using the symmetry condition. 展开更多
关键词 2-PARAMETER NONLINEAR PROBLEMS EXTENDED SYSTEMS BIFURCATION PROBLEM simple TURNING POINT simple HIGH order BIFURCATION POINT
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An Investigation on Ordered Algebraic Hyperstructures
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作者 Saber OMIDI Bijan DAVVAZ Jian Ming ZHAN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第8期1107-1124,共18页
In this paper, we present some basic notions of simple ordered semihypergroups and regular ordered Krasner hyperrings and prove some results in this respect. In addition, we describe pure hyperideals of ordered Krasne... In this paper, we present some basic notions of simple ordered semihypergroups and regular ordered Krasner hyperrings and prove some results in this respect. In addition, we describe pure hyperideals of ordered Krasner hyperrings and investigate some properties of them. Finally, some results concerning purely prime hyperideals are proved. 展开更多
关键词 Algebraic hyperstructure simple ordered semihypergroup regular ordered Krasner hyperring right pure hyperideal purely prime hyperideal
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